Threshold-Enhanced PROMETHEE Group Decision Support under Uncertainties

Table 2

Typical support of a group decision to PROMETHEE.

Aggregation level	Support content	Example	Note
Input level	Alternatives, criteria, performance, and criteria’s thresholds and weights	(1) Alternatives, thresholds, and weights predefined by a decision group (Georgopoulou et al. [36]); (2) Alternatives and criteria determined through the Delphi method (Tavana et al. [45]); (3) Performance ratings of DMs averaged to represent the group’s ratings (Akram et al. [50])	(1) For PROMETHEE II,; (2) for PROMETHEE II,; (3) for PROMETHEE I and II
Process level	Decision power	Weighting individual net flows as the global evaluation (Macharis et al. [8])	For PROMETHEE II
Output level	Posteriori enhancement	(1) A negotiation procedure or meeting for consensus (Georgopoulou et al. [36]); (2) Several social choice functions for supporting the group decision (Colson [25]); (3) Sensitivity and weight interval analyses to promote group consensus (Haralambopoulos and Polatidis [37]); (4) The highest difference between upper and lower positional counting of alternatives from individual ranking (Morais et al. [52]); (5) Group rank from minimizing the distance among the individual ranks through linear programming (Govindan et al. [46])	(1) For PROMETHEE II,; (2) for PROMETHEE I, II, and III,; (3) for PROMETHEE II,; (4) for PROMETHEE II,; (5) for PROMETHEE I and II
	Consensus facilitation	Several consensus-related indices for checking the group consensus (Goletsis et al. [17])	For PROMETHEE II